The piecewise reproducing kernel method for the time variable fractional order advection-reaction-diffusion equations
Dan-Dan Dai, Ting-Ting Ban, Yulan Wang, Wei Zhang
Abstract
This paper structures some new reproductive kernel spaces based on Legendre polynomials to solve time variable order fractional advection-reaction-diffusion equations. Some examples are given to show the effectiveness and reliability of the method.
Topics & Concepts
PiecewiseLegendre polynomialsVariable (mathematics)Reaction–diffusion systemKernel (algebra)AdvectionApplied mathematicsDiffusionMathematicsFractional calculusOrder (exchange)Mathematical analysisPhysicsPure mathematicsThermodynamicsFinanceEconomicsFractional Differential Equations SolutionsDifferential Equations and Numerical MethodsNumerical methods for differential equations